3134412230334 has 192 divisors, whose sum is σ = 7996257626112. Its totient is φ = 795738801600.

The previous prime is 3134412230309. The next prime is 3134412230351. The reversal of 3134412230334 is 4330322144313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3134412230295 and 3134412230304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 990960237 + ... + 990963399.

It is an arithmetic number, because the mean of its divisors is an integer number (41647175136).

Almost surely, 2^{3134412230334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134412230334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998128813056).

3134412230334 is an abundant number, since it is smaller than the sum of its proper divisors (4861845395778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3134412230334 is a wasteful number, since it uses less digits than its factorization.

3134412230334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 3134412230334 its reverse (4330322144313), we get a palindrome (7464734374647).

The spelling of 3134412230334 in words is "three trillion, one hundred thirty-four billion, four hundred twelve million, two hundred thirty thousand, three hundred thirty-four".